What would be the reasons for lines 3 and 4? A. Addition property; subtraction property B. Addition property; solve C. Substitution property; subtraction property D. Substitution property; prove

What would be the reasons for lines 3 and 4 A Addition property subtraction property B Addition property solve C Substitution property subtraction property D Su class=

Respuesta :

Answer:

I chose

D. Substitution property; prove

Answer:

C

Step-by-step explanation:

We are given that angle 1 and angle 2 are supplementary angles.

[tex]m\angle 1=128^{\circ}[/tex]

We  have to find the reason for line 3 and 4.

1.Angle 1 and angle 2 are supplementary angles

[tex]m\angle 1=128^{\circ}[/tex]

Reason:Given

2.[tex]m\angle 1+m\angle2=180^{\circ}[/tex]

Reason:Definition of supplementary angles.

3.[tex]128^{\circ}+m\angle 2=180^{\circ}[/tex]

Reason:Substitute property

4.[tex]m\angle 2=180-128=52^{\circ}[/tex]

Reason:Subtraction property of equality

Hence, option  C is true.